Magma V2.19-8 Wed Aug 21 2013 00:52:39 on localhost [Seed = 2867642133] Type ? for help. Type -D to quit. Loading file "L12n1034__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1034 geometric_solution 11.35096701 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 -1 1 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606156794841 0.425561204423 0 5 7 6 0132 0132 0132 0132 0 1 1 1 0 -1 0 1 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.512904780330 0.665637446454 8 0 9 3 0132 0132 0132 3012 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.071335831847 1.605185407368 10 10 2 0 0132 2310 1230 0132 0 1 1 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 -4 1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.939905730185 0.684098741780 7 9 0 8 0132 1023 0132 1023 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.376071603569 0.637432352315 11 1 10 9 0132 0132 0213 0132 0 0 1 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.071335831847 1.605185407368 12 7 1 8 0132 0213 0132 1302 0 1 1 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684014043297 0.455392695625 4 12 6 1 0132 0132 0213 0132 0 1 1 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 -1 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626293560097 0.502069624280 2 11 6 4 0132 0132 2031 1023 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363693598273 0.233485756007 4 11 5 2 1023 1230 0132 0132 0 0 1 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -2 -1 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605053703028 0.930541992130 3 5 12 3 0132 0213 0132 3201 0 1 0 1 0 0 0 0 1 0 0 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 0 0 3 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.127425705574 1.450583643358 5 8 9 12 0132 0132 3012 3012 1 0 1 1 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 -3 3 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.830991603639 1.176067811916 6 7 11 10 0132 0132 1230 0132 0 1 1 1 0 -1 1 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.553845901890 0.770466101697 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : d['c_1001_10'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(d['c_1001_3']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1001_3']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : negation(d['c_1001_3']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_1']), 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : negation(d['c_0011_12']), 'c_1100_8' : negation(d['c_0101_8']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_12'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_12'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_12']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_3, c_0101_8, c_1001_1, c_1001_10, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2481324528554389958317/3359496520691549000*c_1001_3^7 + 952499311746526079523791/530800450269264742000*c_1001_3^6 - 880008682097396043597973/530800450269264742000*c_1001_3^5 - 29569723830967739029367/18957158938188026500*c_1001_3^4 + 206072199567466964705931/75828635752752106000*c_1001_3^3 - 669920462826849588101/2708165562598289500*c_1001_3^2 - 16238333003538541660483/10832662250393158000*c_1001_3 - 589696203206694583799/1547523178627594000, c_0011_0 - 1, c_0011_10 + 9050769203788349/7740775393298500*c_1001_3^7 - 4124236825648396/1935193848324625*c_1001_3^6 - 223442056497979/3870387696649250*c_1001_3^5 + 7695201935545737/1105825056185500*c_1001_3^4 - 1581559328799606/276456264046375*c_1001_3^3 - 430169717925439/157975008026500*c_1001_3^2 + 851044775047987/157975008026500*c_1001_3 + 37088975395371/22567858289500, c_0011_12 + 1829759121261609/154815507865970*c_1001_3^7 - 10052141555378773/387038769664925*c_1001_3^6 + 29192491704583373/1548155078659700*c_1001_3^5 + 1465100624083843/44233002247420*c_1001_3^4 - 8770337826151151/221165011237100*c_1001_3^3 - 11190714606991/1263800064212*c_1001_3^2 + 885265683329897/31595001605300*c_1001_3 + 43897891634389/4513571657900, c_0101_0 - 6953426718126243/1935193848324625*c_1001_3^7 + 50953157165467147/7740775393298500*c_1001_3^6 - 17668491446101731/7740775393298500*c_1001_3^5 - 155764994659757/11283929144750*c_1001_3^4 + 11218126391465657/1105825056185500*c_1001_3^3 + 85116200931203/11283929144750*c_1001_3^2 - 1476551315513331/157975008026500*c_1001_3 - 117142018612753/22567858289500, c_0101_1 - 78115149984466657/7740775393298500*c_1001_3^7 + 177221929883454697/7740775393298500*c_1001_3^6 - 140183987249612471/7740775393298500*c_1001_3^5 - 28840369724883491/1105825056185500*c_1001_3^4 + 39017645734801087/1105825056185500*c_1001_3^3 + 617815911382077/157975008026500*c_1001_3^2 - 900331065094519/39493752006625*c_1001_3 - 72928686652399/11283929144750, c_0101_11 - 27916398222719053/7740775393298500*c_1001_3^7 + 59008067566582973/7740775393298500*c_1001_3^6 - 9414858619764481/1935193848324625*c_1001_3^5 - 2994804940885616/276456264046375*c_1001_3^4 + 6151578706162039/552912528092750*c_1001_3^3 + 350725182394579/78987504013250*c_1001_3^2 - 1475719954119339/157975008026500*c_1001_3 - 88645384548037/22567858289500, c_0101_12 + 12048452583810917/7740775393298500*c_1001_3^7 - 76702191737575527/7740775393298500*c_1001_3^6 + 83088950646918753/3870387696649250*c_1001_3^5 - 21582181961874879/1105825056185500*c_1001_3^4 - 3566974669608841/552912528092750*c_1001_3^3 + 3553354919456113/157975008026500*c_1001_3^2 - 1430019860476449/157975008026500*c_1001_3 - 28343135628843/5641964572375, c_0101_2 - 2296574117864262/387038769664925*c_1001_3^7 + 19187221130042143/1548155078659700*c_1001_3^6 - 12470440060744719/1548155078659700*c_1001_3^5 - 81710026348611/4513571657900*c_1001_3^4 + 4291693077959143/221165011237100*c_1001_3^3 + 179061698651483/31595001605300*c_1001_3^2 - 486852030288889/31595001605300*c_1001_3 - 12226140508801/2256785828950, c_0101_3 + 1, c_0101_8 + 6210357130152766/1935193848324625*c_1001_3^7 - 33802970158241357/3870387696649250*c_1001_3^6 + 73175894773766947/7740775393298500*c_1001_3^5 + 1174003670943883/276456264046375*c_1001_3^4 - 14696574867540859/1105825056185500*c_1001_3^3 + 176108444039449/39493752006625*c_1001_3^2 + 857467352228947/157975008026500*c_1001_3 - 1315171435466/5641964572375, c_1001_1 + 44765518421276231/3870387696649250*c_1001_3^7 - 211019487199899817/7740775393298500*c_1001_3^6 + 91968912732946173/3870387696649250*c_1001_3^5 + 7309555426099289/276456264046375*c_1001_3^4 - 11443924061203903/276456264046375*c_1001_3^3 + 993925779317/39493752006625*c_1001_3^2 + 957472726201739/39493752006625*c_1001_3 + 132188119825823/22567858289500, c_1001_10 + 46674524187375211/7740775393298500*c_1001_3^7 - 106485508799789361/7740775393298500*c_1001_3^6 + 21517291216864932/1935193848324625*c_1001_3^5 + 16502470328754393/1105825056185500*c_1001_3^4 - 5480953349950779/276456264046375*c_1001_3^3 - 506599944572271/157975008026500*c_1001_3^2 + 2013883355252903/157975008026500*c_1001_3 + 51916392513857/11283929144750, c_1001_3^8 - 10348/6241*c_1001_3^7 + 2350/6241*c_1001_3^6 + 23520/6241*c_1001_3^5 - 12509/6241*c_1001_3^4 - 15680/6241*c_1001_3^3 + 13230/6241*c_1001_3^2 + 12348/6241*c_1001_3 + 2401/6241 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.590 Total time: 0.790 seconds, Total memory usage: 32.09MB